Representation-directed algebras
form an open scheme
Colloquium Mathematicum, Tome 93 (2002) no. 2, pp. 237-250
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
We apply van den Dries's test to the class of algebras (over algebraically closed fields) which are not representation-directed and prove that this class is axiomatizable by a positive quantifier-free formula. It follows that the representation-directed algebras form an open ${{\mathbb Z}}$-scheme.
Keywords:
apply van den driess test class algebras algebraically closed fields which representation directed prove class axiomatizable positive quantifier free formula follows representation directed algebras form mathbb scheme
Affiliations des auteurs :
Stanislaw Kasjan 1
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author = {Stanislaw Kasjan},
title = {Representation-directed algebras
form an open scheme},
journal = {Colloquium Mathematicum},
pages = {237--250},
publisher = {mathdoc},
volume = {93},
number = {2},
year = {2002},
doi = {10.4064/cm93-2-3},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm93-2-3/}
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Stanislaw Kasjan. Representation-directed algebras form an open scheme. Colloquium Mathematicum, Tome 93 (2002) no. 2, pp. 237-250. doi: 10.4064/cm93-2-3
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